Results 31 to 40 of about 9,762 (294)
The Global Attractor of a Dissipative Nonlinear Evolution System [PDF]
, 1999 We study the global smooth solution and the global attractor for a dissipative nonlinear evolution system given by strongly coupled parabolic ...
Hsieh, Din Yu +5 more
core +1 more source
Attractors for a class of doubly nonlinear parabolic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2006 In this paper, we establish the existence and boundedness of solutions of a doubly nonlinear parabolic system. We also obtain the existence of a global attractor and the regularity property for this attractor in $\left[ L^{\infty }(\Omega )\right] ^{2 ...
Hamid El Ouardi, Abderrahmane El Hachimi
doaj +1 more source
The Global Attractor of 2D [PDF]
In this article, the global attractors of 2D g-Navier-Stokes equations are obtained in the space of CHg and CVg respectively. When the external force f is sufficiently small, the studies indicate that the global attractor in CHg is equal to the global ...
core +1 more source
Global Attractor for Impulsive Reaction-Diffusion Equation [PDF]
Nonlinear Oscillations, 2005 In this paper, we consider a reaction-diffusion equation with nonsmooth nonlinearity whose solutions have impulse effects at fixed moments of time. We show how this object generates a nonautonomous multivalued dynamical system and prove the existence of a compact semiinvariant global attractor in the phase space.
IOVANE, Gerardo, O. KAPUSTYAN
openaire +3 more sources
Regularity of Global Attractor for the Reaction-Diffusion Equation [PDF]
, 2020 By using an iteration procedure, regularity estimates for the linear semigroups, and a classical existence theorem of global attractor, we prove that the reaction-diffusion equation possesses a global attractor in Sobolev space H k for all k > 0 ...
Hong Luo
core
Embedding of global attractors and their dynamics [PDF]
Proceedings of the American Mathematical Society, 2011 Using shape theory and the concept of cellularity, we show that if $A$ is the global attractor associated with a dissipative partial differential equation in a real Hilbert space $H$ and the set $A-A$ has finite Assouad dimension $d$, then there is an ordinary differential equation in ${\mathbb R}^{m+1}$, with $m >d$, that has unique solutions and ...
Pinto de Moura, Eleonora +2 more
openaire +2 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric radiation therapy presents unique challenges compared to adult treatments, including those of immobilization, potential need for sedation, and the critical importance of accurate, reproducible positioning. Additionally, heightened attention to imaging doses is necessary to minimize long‐term toxicity in survivors.
Parham Alaei +17 more
wiley +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Pediatric bone sarcoma patients and survivors may experience psychosocial challenges related to childhood cancer after their intensive, body‐altering treatment. This cross‐sectional study aimed to evaluate generic and survivor‐specific psychosocial outcomes in a national cohort of pediatric bone sarcoma patients and survivors, and ...
Hinke van der Hoek +14 more
wiley +1 more source
Visualizing the transition to chaos in the Lorenz system [PDF]
, 2006 The Lorenz system still fascinates many people because of the simplicity of the equations that generate such complicated dynamics on the famous butterfly attractor.
Osinga, HM +3 more
core
Local and global stability indices for a riddled basin attractor of a piecewise linear map [PDF]
, 2016 We consider a piecewise expanding linear map with a Milnor attractor whose basin is riddled with the basin of a second attractor. To characterize the local geometry of this riddled basin, we calculate a stability index for points within the attractor as ...
UA Mohd Roslan (21996173) +1 more
core +4 more sources